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Diffusion at constant speed in a model phase space

S. Anantha Ramakrishna·N. Kumar
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Abstract

We reconsider the problem of diffusion of particles at constant speed and present a generalization of the Telegrapher process to higher dimensional stochastic media ($d>1$), where the particle can move along $2^d$ directions. We derive the equations for the probability density function using the ``formulae of differentiation'' of Shapiro and Loginov. The model is an advancement over similiar models of photon migration in multiply scattering media in that it results in a true diffusion at constant speed in the limit of large dimensions.

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S. Anantha Ramakrishna, N. Kumar. 2002-10-09. Diffusion at constant speed in a model phase space. https://doi.org/10.1142/s0217979202012979

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